Chaotic size dependence in the Ising model with random boundary conditions

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dc.creatorvan Enter, A. C. D.
dc.creatorMedved, I.
dc.creatorNetocny, K.
dc.date2001-08-20
dc.date2002-02-28
dc.date.accessioned2026-07-07T04:28:36Z
dc.date.available2026-07-07T04:28:36Z
dc.descriptionWe study the nearest-neighbour Ising model with a class of random boundary conditions, chosen from a symmetric i.i.d. distribution. We show for dimensions 4 and higher that almost surely the only limit points for a sequence of increasing cubes are the plus and the minus state. For d=2 and d=3 we prove a similar result for sparse sequences of increasing cubes. This question was raised by Newman and Stein. Our results imply that the Newman-Stein metastate is concentrated on the plus and the minus state.
dc.descriptionLaTeX2e, 30 pages, no figures
dc.identifierhttps://arxiv.org/abs/math-ph/0108011
dc.identifierhttp://arxiv.org/abs/math-ph/0108011
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/56847
dc.subjectMathematical Physics
dc.subjectProbability
dc.subject82B20, 82B44 (Primary) 60F05, 60K35 (Secondary)
dc.titleChaotic size dependence in the Ising model with random boundary conditions
dc.typetext

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